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A219299 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nXk array 8

%I #4 Nov 17 2012 07:04:44

%S 3,3,3,6,7,6,10,17,17,10,15,35,77,35,15,21,62,261,261,62,21,28,103,

%T 800,1540,800,103,28,36,165,2361,8424,8424,2361,165,36,45,257,6647,

%U 42938,80488,42938,6647,257,45,55,390,17675,204842,696879,696879,204842,17675

%N T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nXk array

%C Table starts

%C ..3....3......6........10..........15...........21............28............36

%C ..3....7.....17........35..........62..........103...........165...........257

%C ..6...17.....77.......261.........800.........2361..........6647.........17675

%C .10...35....261......1540........8424........42938........204842........912956

%C .15...62....800......8424.......80488.......696879.......5595137......42137183

%C .21..103...2361.....42938......696879.....10000720.....132409292....1666872519

%C .28..165...6647....204842.....5595137....132409292....2898775988...61440315340

%C .36..257..17675....912956....42137183...1666872519...61440315340.2236908145276

%C .45..390..44508...3824676...299422108..20066430819.1268571836942

%C .55..577.106958..15209685..2021265987.230659006886

%C .66..833.246970..57837351.13038610049

%C .78.1175.550538.211203417

%H R. H. Hardin, <a href="/A219299/b219299.txt">Table of n, a(n) for n = 1..127</a>

%e Some solutions for n=3 k=4

%e ..0..0..0..2....0..0..0..2....1..1..1..1....0..0..0..2....1..0..0..1

%e ..0..0..2..2....0..0..0..0....1..1..1..2....0..0..1..2....0..0..0..1

%e ..0..2..2..2....1..0..0..0....1..1..2..2....0..0..2..2....0..0..1..1

%Y Column 1 is (n^2+n)/2 for n>1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Nov 17 2012

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Last modified February 20 18:38 EST 2024. Contains 370217 sequences. (Running on oeis4.)